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Finding the Third Proportional to 259,746.75 and 414,941.06

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Solution

The third proportional to 259,746.75 and 414,941.06 is: 662,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,746.75 : 414,941.06 = 414,941.06 : x
  2. Step 2: Convert to fraction form
    259,746.75/414,941.06 = 414,941.06/x
  3. Step 3: Cross multiply
    259,746.75x = 414,941.06 × 414,941.06
  4. Step 4: Simplify right side
    259,746.75x = 172,176,085,348.63
  5. Step 5: Solve for x
    x = 172,176,085,348.63/259,746.75
  6. Step 6: Final answer
    x = 662,861.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.